Finding the Third Proportional to 34,552 and 51,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,552 : 51,830.50 = 51,830.50 : x
2. Step 2: Convert to fraction form
   34,552/51,830.50 = 51,830.50/x
3. Step 3: Cross multiply
   34,552x = 51,830.50 × 51,830.50
4. Step 4: Simplify right side
   34,552x = 2,686,400,730.25
5. Step 5: Solve for x
   x = 2,686,400,730.25/34,552
6. Step 6: Final answer
   x = 77,749.50